16997881824 has 288 divisors, whose sum is σ = 62345687040. Its totient is φ = 4262630400.

The previous prime is 16997881799. The next prime is 16997881841. The reversal of 16997881824 is 42818879961.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 629889 + ... + 656319.

It is an arithmetic number, because the mean of its divisors is an integer number (216478080).

Almost surely, 2^16997881824 is an apocalyptic number.

16997881824 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16997881824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31172843520).

16997881824 is an abundant number, since it is smaller than the sum of its proper divisors (45347805216).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

16997881824 is a wasteful number, since it uses less digits than its factorization.

16997881824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26494 (or 26483 counting only the distinct ones).

The product of its digits is 13934592, while the sum is 63.

The spelling of 16997881824 in words is "sixteen billion, nine hundred ninety-seven million, eight hundred eighty-one thousand, eight hundred twenty-four".